58787 has 2 divisors, whose sum is σ = 58788. Its totient is φ = 58786.

The previous prime is 58771. The next prime is 58789. The reversal of 58787 is 78785.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 58787 - 2⁴ = 58771 is a prime.

It is a super-2 number, since 2×58787² = 6911822738, which contains 22 as substring.

Together with 58789, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58787.

It is not a weakly prime, because it can be changed into another prime (58789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29393 + 29394.

It is an arithmetic number, because the mean of its divisors is an integer number (29394).

2⁵⁸⁷⁸⁷ is an apocalyptic number.

58787 is a deficient number, since it is larger than the sum of its proper divisors (1).

58787 is an equidigital number, since it uses as much as digits as its factorization.

58787 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15680, while the sum is 35.

The square root of 58787 is about 242.4603060297. The cubic root of 58787 is about 38.8830597461.

It can be divided in two parts, 5878 and 7, that added together give a palindrome (5885).

The spelling of 58787 in words is "fifty-eight thousand, seven hundred eighty-seven".